Continuum of positive solutions of superlinear fractional Laplacian problems

被引：1

作者：

Chhetri, Maya ^{[1
]}

Girg, Petr ^{[2
]}

Hollifield, Elliott ^{[3
]}

机构：

[1] Univ North Carolina Greensboro, Dept Math & Stat, Greensboro, NC 27402 USA

[2] Univ West Bohemia, European Ctr Excellence, NTIS, Univerzitni 8, Plzen 30100, Czech Republic

[3] Univ North Carolina Pembroke, Dept Math & Comp Sci, Pembroke, NC 28372 USA

来源：

PARTIAL DIFFERENTIAL EQUATIONS AND APPLICATIONS | 2022年 / 3卷 / 01期

关键词：

Fractional Laplacian; Superlinear; Positive weak solution; Bifurcation from infinity; DIFFUSION; EXISTENCE; EQUATIONS;

D O I：

10.1007/s42985-021-00144-1

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We discuss the existence of a continuum of positive weak solutions to a fractional Laplacian problem involving superlinear reaction term when a bifurcation parameter is small. We employ degree theory combined with a re-scaling argument, boundary analysis, and a continuation theorem to obtain our result.

引用

页数：11

共 43 条

[1] On the fractional Lazer-McKenna conjecture with superlinear potential [J].